Jordan, C. R.; Jordan, D. A. and Jordan, J. H.
(2002).
*Experimental Mathematics*, 11(3) pp. 339–347.

URL: | http://www.emis.ams.org/journals/EM/expmath/volume... |
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## Abstract

We identify and investigate a class of complex H´enon maps H : C^{2} → C^{2} that are reversible, that is, each H can be factorized as RU where R^{2} = U^{2} = Id_{c}_{2} . Fixed points and periodic points of order two or three are classified in terms of symmetry, with respect to R or U, and as either elliptic or saddle points. We report on experimental investigation, using a Java applet, of the bounded orbits of H.

Item Type: | Journal Article |
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Copyright Holders: | 2002 A K Peters, Ltd. |

ISSN: | 1058-6458 |

Extra Information: | MR number MR1959746 |

Keywords: | H´enon map; reversibility; fixed points; periodic points; bounded orbits; ellipticity |

Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

Related URLs: | |

Item ID: | 31536 |

Depositing User: | Camilla Jordan |

Date Deposited: | 10 Feb 2012 16:44 |

Last Modified: | 18 Jan 2016 11:59 |

URI: | http://oro.open.ac.uk/id/eprint/31536 |

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